0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : do_cvc5 %s %d 0.13/0.34 % Computer : n016.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:25:27 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF 20.72/20.98 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 20.72/20.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 20.72/20.98 --- Run --no-e-matching --full-saturate-quant at 5... 20.72/20.98 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 20.72/20.98 --- Run --finite-model-find --uf-ss=no-minimal at 5... 20.72/20.98 % SZS status Theorem for theBenchmark 20.72/20.98 % SZS output start Proof for theBenchmark 20.72/20.98 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (r1 X Y) (r1 Y Z)) (r1 X Z))))) (let ((_let_2 (forall ((X $$unsorted)) (r1 X X)))) (let ((_let_3 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p46 X)) (forall ((Y $$unsorted)) (or (p56 Y) (not (r1 X Y)))))) (not (r1 Y X)))) (not (r1 X Y)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p56 Y))) (not (p44 X)))) (not (r1 Y X)))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p42 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p56 Y))))) (not (r1 Y X)))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p46 X)) (forall ((Y $$unsorted)) (or (p54 Y) (not (r1 X Y)))))))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p44 X)) (forall ((Y $$unsorted)) (or (p54 Y) (not (r1 X Y)))))))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p52 Y))) (not (p46 X)))))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p46 X) (not (r1 Y X)))) (not (p36 Y)))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p45 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p55 Y))))) (not (r1 Y X)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p51 Y) (not (r1 X Y)))) (not (p45 X)))))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p44 X))) (not (p32 Y)))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p43 X)) (forall ((Y $$unsorted)) (or (p51 Y) (not (r1 X Y)))))) (not (r1 Y X)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (and (not (p36 Y)) (forall ((X $$unsorted)) (or (p42 X) (not (r1 Y X)))))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (and (not (p32 Y)) (forall ((X $$unsorted)) (or (p42 X) (not (r1 Y X)))))) (not (r1 X Y)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (p36 Y) (not (r1 X Y)))) (not (p26 X)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (p36 Y) (not (r1 X Y)))) (not (p22 X)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (and (not (p35 Y)) (forall ((X $$unsorted)) (or (p45 X) (not (r1 Y X)))))) (not (r1 X Y)))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p26 X)) (forall ((Y $$unsorted)) (or (p34 Y) (not (r1 X Y)))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p34 Y))) (not (p24 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p22 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p34 Y)))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p45 X))) (not (p33 Y)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p26 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p32 Y))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p32 Y))) (not (p22 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p25 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p31 Y))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p24 X) (not (r1 Y X)))) (not (p16 Y))))))) (not (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p24 X))) (not (p14 Y)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p22 X) (not (r1 Y X)))) (not (p14 Y))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p35 Y))) (not (p21 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (not (p21 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p31 Y))))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p25 X))) (not (p15 Y))))))) (not (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p25 X))) (not (p13 Y)))) (not (r1 X Y))))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p12 X))) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (p11 X))) (not (r1 X Y)))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p13 X))))) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (p15 X))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p11 Y)) (forall ((X $$unsorted)) (or (p23 X) (not (r1 Y X))))))))) (not (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (p25 X) (not (r1 Y X)))) (not (p11 Y)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (and (not (p12 Y)) (forall ((X $$unsorted)) (or (p21 X) (not (r1 Y X)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p13 Y)) (forall ((X $$unsorted)) (or (p23 X) (not (r1 Y X))))))))) (not (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p23 X))) (not (p15 Y)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p21 X)) (forall ((Y $$unsorted)) (or (p33 Y) (not (r1 X Y)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p21 X)) (forall ((Y $$unsorted)) (or (p34 Y) (not (r1 X Y)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (and (not (p16 Y)) (forall ((X $$unsorted)) (or (p22 X) (not (r1 Y X)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p23 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p31 Y)))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p33 Y) (not (r1 X Y)))) (not (p23 X))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p23 X)) (forall ((Y $$unsorted)) (or (p35 Y) (not (r1 X Y)))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p33 Y) (not (r1 X Y)))) (not (p25 X)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p35 Y) (not (r1 X Y)))) (not (p25 X)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p26 X))) (not (p14 Y))))))) (not (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p26 X))) (not (p16 Y)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p31 Y)) (forall ((X $$unsorted)) (or (p43 X) (not (r1 Y X)))))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p45 X) (not (r1 Y X)))) (not (p31 Y)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p32 Y))) (not (p24 X))))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (and (not (p33 Y)) (forall ((X $$unsorted)) (or (p43 X) (not (r1 Y X)))))) (not (r1 X Y))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (forall ((X $$unsorted)) (or (p41 X) (not (r1 Y X)))) (not (p34 Y)))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (not (and (not (p35 Y)) (forall ((X $$unsorted)) (or (p43 X) (not (r1 Y X)))))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p36 Y))) (not (p24 X)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (p51 Y) (not (r1 X Y)))) (not (p41 X)))) (not (r1 Y X))))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p41 X)) (forall ((Y $$unsorted)) (or (p53 Y) (not (r1 X Y)))))))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p54 Y) (not (r1 X Y)))) (not (p41 X)))))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p41 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p55 Y))))) (not (r1 Y X)))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (and (not (p43 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p53 Y))))) (not (r1 Y X)))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p43 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p55 Y))))))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (and (not (p36 Y)) (forall ((X $$unsorted)) (or (p44 X) (not (r1 Y X)))))) (not (r1 X Y)))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (forall ((Y $$unsorted)) (or (p53 Y) (not (r1 X Y)))) (not (p45 X)))))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (and (forall ((X $$unsorted)) (or (not (r1 Y X)) (p46 X))) (not (p32 Y)))) (not (r1 X Y)))) (not (r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (and (forall ((Y $$unsorted)) (or (p52 Y) (not (r1 X Y)))) (not (p42 X)))) (not (r1 Y X)))))) (not (r1 Y X)))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p44 X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (p52 Y)))))))))))))) (not (forall ((Y $$unsorted)) (or (forall ((X $$unsorted)) (or (not (r1 Y X)) (forall ((Y $$unsorted)) (or (not (r1 X Y)) (forall ((X $$unsorted)) (or (not (r1 Y X)) (not (and (not (p42 X)) (forall ((Y $$unsorted)) (or (p54 Y) (not (r1 X Y)))))))))))) (not (r1 X Y))))) (not (forall ((Y $$unsorted)) (or (not (or (not (forall ((X $$unsorted)) (or (p56 X) (not (r1 Y X))))) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (p54 X)))) (not (forall ((X $$unsorted)) (or (not (r1 Y X)) (p52 X)))) (not (forall ((X $$unsorted)) (or (p54 X) (not (r1 Y X))))))) (not (r1 X Y)))))))))))) (let ((_let_4 (r1 skv_2 skv_2))) (let ((_let_5 (_let_2))) (let ((_let_6 (ASSUME :args _let_5))) (let ((_let_7 (r1 skv_2 skv_79))) (let ((_let_8 (not _let_7))) (let ((_let_9 (p21 skv_79))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (not _let_4))) (let ((_let_12 (forall ((X $$unsorted)) (or (p21 X) (not (r1 skv_2 X)))))) (let ((_let_13 (not _let_10))) (let ((_let_14 (r1 skv_2 skv_141))) (let ((_let_15 (not _let_14))) (let ((_let_16 (p21 skv_141))) (let ((_let_17 (or _let_16 _let_15))) (let ((_let_18 (not _let_12))) (let ((_let_19 (not _let_17))) (let ((_let_20 (r1 skv_9 skv_141))) (let ((_let_21 (not _let_20))) (let ((_let_22 (r1 skv_2 skv_9))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_14))) (let ((_let_25 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (r1 X Y)) (not (r1 Y Z)) (r1 X Z))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 (or _let_16 _let_21))) (let ((_let_29 (forall ((X $$unsorted)) (or (p21 X) (not (r1 skv_9 X)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (p12 skv_9))) (let ((_let_33 (or _let_32 _let_31 _let_23))) (let ((_let_34 (forall ((Y $$unsorted)) (or (p12 Y) (not (forall ((X $$unsorted)) (or (p21 X) (not (r1 Y X))))) (not (r1 skv_2 Y)))))) (let ((_let_35 (r1 skv_10 skv_9))) (let ((_let_36 (not _let_35))) (let ((_let_37 (r1 skv_2 skv_10))) (let ((_let_38 (not _let_37))) (let ((_let_39 (forall ((Y $$unsorted) (BOUND_VARIABLE_4735 $$unsorted) (BOUND_VARIABLE_4729 $$unsorted) (BOUND_VARIABLE_4723 $$unsorted) (BOUND_VARIABLE_4717 $$unsorted)) (or (and (or (p56 BOUND_VARIABLE_4717) (not (r1 Y BOUND_VARIABLE_4717))) (or (not (r1 Y BOUND_VARIABLE_4723)) (p54 BOUND_VARIABLE_4723)) (or (not (r1 Y BOUND_VARIABLE_4729)) (p52 BOUND_VARIABLE_4729)) (or (p54 BOUND_VARIABLE_4735) (not (r1 Y BOUND_VARIABLE_4735)))) (not (r1 skv_2 Y)))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (forall ((Y $$unsorted) (BOUND_VARIABLE_4106 $$unsorted) (BOUND_VARIABLE_4104 $$unsorted) (BOUND_VARIABLE_4102 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_4102)) (not (r1 BOUND_VARIABLE_4102 BOUND_VARIABLE_4106)) (not (r1 BOUND_VARIABLE_4106 BOUND_VARIABLE_4104)) (not (forall ((Y $$unsorted)) (or (p54 Y) (not (r1 BOUND_VARIABLE_4104 Y))))) (p41 BOUND_VARIABLE_4104))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (forall ((Y $$unsorted) (BOUND_VARIABLE_3827 $$unsorted) (BOUND_VARIABLE_3825 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3825)) (not (r1 BOUND_VARIABLE_3825 BOUND_VARIABLE_3827)) (not (forall ((X $$unsorted)) (or (p41 X) (not (r1 BOUND_VARIABLE_3827 X))))) (p34 BOUND_VARIABLE_3827))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (forall ((Y $$unsorted) (BOUND_VARIABLE_3496 $$unsorted)) (or (not (r1 skv_2 Y)) (p21 BOUND_VARIABLE_3496) (not (forall ((Y $$unsorted)) (or (p34 Y) (not (r1 BOUND_VARIABLE_3496 Y))))) (not (r1 Y BOUND_VARIABLE_3496)))))) (let ((_let_46 (not _let_45))) (let ((_let_47 (not _let_34))) (let ((_let_48 (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2284 $$unsorted) (BOUND_VARIABLE_2282 $$unsorted) (BOUND_VARIABLE_2280 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_2280)) (not (r1 BOUND_VARIABLE_2280 BOUND_VARIABLE_2284)) (p46 BOUND_VARIABLE_2282) (not (forall ((Y $$unsorted)) (or (p56 Y) (not (r1 BOUND_VARIABLE_2282 Y))))) (not (r1 BOUND_VARIABLE_2284 BOUND_VARIABLE_2282))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2355 $$unsorted) (BOUND_VARIABLE_2353 $$unsorted) (BOUND_VARIABLE_2351 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_2351)) (not (r1 BOUND_VARIABLE_2351 BOUND_VARIABLE_2355)) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_2353 Y)) (p56 Y)))) (p44 BOUND_VARIABLE_2353) (not (r1 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_let_44 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3872 $$unsorted) (BOUND_VARIABLE_3870 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3870)) (not (r1 BOUND_VARIABLE_3870 BOUND_VARIABLE_3872)) (p35 BOUND_VARIABLE_3872) (not (forall ((X $$unsorted)) (or (p43 X) (not (r1 BOUND_VARIABLE_3872 X)))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3897 $$unsorted)) (or (not (r1 skv_2 Y)) (not (forall ((Y $$unsorted)) (or (not (r1 BOUND_VARIABLE_3897 Y)) (p36 Y)))) (p24 BOUND_VARIABLE_3897) (not (r1 Y BOUND_VARIABLE_3897))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_3964 $$unsorted) (BOUND_VARIABLE_3962 $$unsorted) (BOUND_VARIABLE_3960 $$unsorted)) (or (not (r1 skv_2 Y)) (not (r1 Y BOUND_VARIABLE_3960)) (not (r1 BOUND_VARIABLE_3960 BOUND_VARIABLE_3964)) (not (forall ((Y $$unsorted)) (or (p51 Y) (not (r1 BOUND_VARIABLE_3962 Y))))) (p41 BOUND_VARIABLE_3962) (not (r1 BOUND_VARIABLE_3964 BOUND_VARIABLE_3962))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_4035 $$unsorted) 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(REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_99 _let_101 (not _let_102)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_105 1)) (CONG (REFL :args (_let_105)) (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_100))) :args _let_52)) :args ((or _let_100 _let_105))) (CNF_OR_NEG :args (_let_105 0)) (REORDERING (CNF_AND_POS :args (_let_103 1)) :args ((or _let_102 (not _let_103)))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) (REFL :args ((not _let_105))) :args _let_52)) (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_80 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_107) :args (skv_88 skv_2 skv_2 skv_95 skv_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 64)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) 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false _let_97 false _let_79 true _let_81)) :args ((or _let_11 _let_66) false _let_94 true _let_84 false _let_91 true _let_86 true _let_93 true _let_88 false _let_90 false _let_63 true _let_65 false _let_87 false _let_83 false _let_82)) :args ((or _let_11 _let_10) false _let_78 true _let_68 false _let_75 true _let_70 true _let_77 true _let_72 false _let_74 false _let_7 true _let_9 false _let_71 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_12))) (REFL :args (_let_13)) :args _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (skv_141 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 _let_19))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 0)) _let_60 :args ((not _let_16) true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_14 (not _let_24)))) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_52)) :args ((or _let_20 _let_28))) _let_60 :args (_let_20 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (skv_2 skv_9 skv_141 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_14 false _let_22 false _let_20 false _let_24)) :args (_let_19 true _let_16 false _let_14)) :args (_let_18 true _let_17)) :args (_let_13 true _let_12)) :args (_let_11 true _let_10)) _let_6 :args (false true _let_4 false _let_2)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 20.72/20.98 % SZS output end Proof for theBenchmark 20.72/20.98 EOF